We present a continued fraction with 13 permutation statistics, several of them new, connecting great number combinatorial structures to wide variety moment sequences and their measures from classical noncommutative probability. The Hankel determinants these are product (p,q)-factorials, unifying instances the literature. corresponding capture as special cases laws, such Gaussian, Poisson, expo...

This paper investigates the sociomateriality of collective creation in context a design studio project. Grounded relational approach that has influenced multitude studies various fields, notion accounts for constitutive entanglement social and material practice. How this occurs or what exactly is subjected to it, however, remains largely unarticulated, especially where handling materials lies a...

Application of the method of moments for the parametric distribution is common in the construction of a suitable parametric distribution. However, moment method of parameter estimation does not produce good results. An alternative approach when constructing an appropriate parametric distribution for the considered data file is to use the so-called order statistics. This paper deals with the use...

DEFINITION Consider a stream (i.e., an ordered list) S = a1, a2, . . . , an of elements ai ∈ [m] def = {1, 2, . . . ,m}. For i ∈ [m], its frequency fi is the number of times it occurs in S. The k-th frequency moment Fk of S, for real k > 0, is defined to be Fk(S) = ∑ i∈[m] f k i . Interpreting 0 0 as 0, we also define F0 this way, so that it equals the number of distinct elements in S. Observe ...

Spins, electromagnetic moments and radii are basic observables characterizing a particular nucleus. We review a variety of experimental techniques currently used to measure these quantities for unstable nuclei far from stability and for isomeric nuclear states. The experiments can be traced back to two different principles: Optical high-resolution spectroscopy reveals the interaction between nu...

Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...

Tthe Zografos–Balakrishnan-log-logistic (ZBLL) distribution is a new distribution of three parameters that has been introduced by Ramos et el. [1], and They presented some properties of the new distribution such as its probability density function, The cumulative distribution function, The  moment generating function, its hazard (failure) rate function, quantiles and moments, Rényi and Shannon ...

let $g$ be a simple graph‎, ‎and $g^{sigma}$‎ ‎be an oriented graph of $g$ with the orientation ‎$sigma$ and skew-adjacency matrix $s(g^{sigma})$‎. ‎the $k-$th skew spectral‎ ‎moment of $g^{sigma}$‎, ‎denoted by‎ ‎$t_k(g^{sigma})$‎, ‎is defined as $sum_{i=1}^{n}( ‎‎‎lambda_{i})^{k}$‎, ‎where $lambda_{1}‎, ‎lambda_{2},cdots‎, ‎lambda_{n}$ are the eigenvalues of $g^{sigma}$‎. ‎suppose‎ ‎$g^{sigma...